论文标题
混合渗透过渡的磁滞和关键性
Hysteresis and criticality in hybrid percolation transitions
论文作者
论文摘要
相变（PT）通常分为二阶和一阶转变，每个跃迁都表现出不同的内在特性。例如，当对照参数增加并在过渡点上减小时，一阶转变表现出潜在热和滞后，而二阶过渡则没有。最近，混合渗透转变（HPT）是在各种复杂系统中发出的，其中一阶和二阶PT的特征出现在同一过渡点。因此，是否出现在HPT中的问题。在本文中，我们使用所谓的限制ERDőS--Rényi随机网络模型研究了这个基本问题，其中还提出了群集碎片过程。获得了顺序参数的磁滞曲线。根据何时启动反向过程，磁滞曲线的形状发生了变化，HPT的临界行为在整个正向和反向过程中保存。
Phase transitions (PTs) are generally classified into second-order and first-order transitions, each exhibiting different intrinsic properties. For instance, a first-order transition exhibits latent heat and hysteresis when a control parameter is increased and then decreased across a transition point, whereas a second-order transition does not. Recently, hybrid percolation transitions (HPTs) are issued in diverse complex systems, in which the features of first-order and second-order PTs occur at the same transition point. Thus, the question whether hysteresis appears in an HPT arises. Herein, we investigate this fundamental question with a so-called restricted Erdős--Rényi random network model, in which a cluster fragmentation process is additionally proposed. The hysteresis curve of the order parameter was obtained. Depending on when the reverse process is initiated, the shapes of hysteresis curves change, and the critical behavior of the HPT is conserved throughout the forward and reverse processes.
